Dragonfly drawings have been requested on the site for a while, so it's time to add this popular cartoon critter. Follow along and learn how to make your own cartoon dragonfly. STEP-1: The Head and Eyes Make a large circle and then two smaller circles on top of it. The smaller circles should be about half the size of the larger one. To get the right placement of these smaller circles please refer to the example image. One small circle will be a little off centre at the top half of the head circle, while the other one will be.